102013222232133 has 10 divisors (see below), whose sum is σ = 152390122099974. Its totient is φ = 68008814821368.

The previous prime is 102013222232059. The next prime is 102013222232167. The reversal of 102013222232133 is 331232222310201.

102013222232133 is a `hidden beast` number, since 1 + 0 + 201 + 3 + 22 + 223 + 213 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 83356498280484 + 18656723951649 = 9129978^2 + 4319343^2 .

It is not a de Polignac number, because 102013222232133 - 2²⁰ = 102013221183557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102013222232097 and 102013222232106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102013222232833) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 629711248266 + ... + 629711248427.

Almost surely, 2^{102013222232133} is an apocalyptic number.

It is an amenable number.

102013222232133 is a deficient number, since it is larger than the sum of its proper divisors (50376899867841).

102013222232133 is an equidigital number, since it uses as much as digits as its factorization.

102013222232133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259422496705 (or 1259422496696 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 102013222232133 its reverse (331232222310201), we get a palindrome (433245444542334).

The spelling of 102013222232133 in words is "one hundred two trillion, thirteen billion, two hundred twenty-two million, two hundred thirty-two thousand, one hundred thirty-three".